Statistical Sciences 2141A/B Lecture Notes - Lecture 11: Random Variable, Countable Set, Probability Distribution
11 Nov 2018
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Document Summary
A random variable (rv) is a rule which assigns a numerical value to each outcome of the sample space of a particular experiment. It is a variable because different numerical values are possible. It is random because the observed value depends on which of the possible outcomes occur for the specific outcome. "in mathematical language, a random variable is a function whose domain is the sample space and whose range is the set of real numbers" The types of failure can be associated with a repair cost electrical failures cost on average, mechanical failures cost on average and misuse failures cost on average. The repair costs generate a random variable cost with a state space {50, 200, 350} and the experimental outcomes can be mapped to the real number line. We define a particular random variable in order to focus on some specific aspect(s) of the experiment.
